GRAPHING LINEAR EQUATIONS AND FUNCTIONS Carly Cofer

4.1 : THE CARTESIAN COORIDINATE SYSTEM X ~ Axis Y ~ Axis Origin

QUADRANTS Quadrant II (-,+) Quadrant I (+,+) Quadrant IV (+,-) Quadrant III (-,-)

 Every point is written in the form ( X, Y )  To plot the point, begin at the origin  Move horizontally along the X ~ Axis to the designated X coordinate  Than move vertically along the line of the X coordinate to the designated Y coordinate  ( 4, -3 ) TO PLOT A POINT…

 ( -6, 3 )  ( -9, -2 )  ( 5, -2 )  ( 7, 4 )  ( 0, 8 )  ( -10, 0 ) LETS TRY IT OUT!

 Without plotting the points, can you figure out what quadrant these points lie in? : ( -7, -5 ) ( 8, 1 ) ( -9, 4 ) ( 6, -3 ) LETS TRY IT OUT! Quadrant II (-,+) Quadrant I (+,+) Quadrant III (-,-) Quadrant IV (+,-)

SCATTER PLOTS  A Scatter Plot is a specific type of graph which has multiple sets of coordinate pairs  These pairs of points are typically organized in a data table  Each pair is plotted on the same graph  This type of graph is often used to interpret data and trends in real world applications

SCATTER PLOTS Scatter Plot Data Table X Y

REAL WORLD EXAMPLE Number of teens with cell phones Create a scatter graph for the data table X Y

REAL WORLD EXAMPLE Cell phone scatter graph  Interpretation of the data : 1~ At what age do the greatest amount of teens have cell phones? 2~ At what age do the least amount of teens have cell phones? 3~ How many 14 year olds have cell phones? 4~ What is the greatest amount of cell phone carrying teens at any age? 5~ What is the least amount of cell phone carrying teens at any age? 6~ About how many 17.5 year olds have cell phones? X Y

 Lets try a real world example of our own!  Cell phone service providers  Interpretation of the data : 1~ What provider(s) is used by the greatest amount of students? 2~ What provider(s) is used by the least amount of students? 3~ How many students use Verizon? 4~ What is the greatest amount of students using the same provider? 5~ What is the least amount of students using the same provider? LETS TRY IT OUT! XAT&TVerizonT Mobile Metro PCS CricketSprintOther Y A V T M C S O

 Page 206 3, 4, 5, 6, 7 & 8 IN CLASS EXERCISES

ON THE CALCULATOR  2 nd Y = [STAT PLOT] 1 : Plot1…On Make sure Plot1 is in the on position  GRAPH  STAT 1 : Edit For L1, enter in the X values For L2, enter in the Y values  WINDOW Adjust values for Xmin, Xmax Xscale Ymin Ymax Yscale

 Page 206  10, 12, 16, 18, 20, 22, 24 & 25 Good Luck! TRY IT YOURSELF!

 "Coordinate Grids." Chart. ClipArt ETC. First Last. Web. 23 Oct  Larson, Ron on, Laurie Laurie Boswell, and Timothy Timothy D. Kanold. Algebra 1. McDougal Littell/Houghton Mifflin, ~209. Print. WORKS CITED